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Finding the Fourth Proportional to 4,993.34, 7,490.01 and 1,706.46

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Solution

The fourth proportional to 4,993.34, 7,490.01 and 1,706.46 is: 2,559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.34 : 7,490.01 = 1,706.46 : x
  2. Step 2: Convert to fraction form
    4,993.34/7,490.01 = 1,706.46/x
  3. Step 3: Cross multiply
    4,993.34x = 7,490.01 × 1,706.46
  4. Step 4: Simplify right side
    4,993.34x = 12,781,393.93
  5. Step 5: Solve for x
    x = 12,781,393.93/4,993.34
  6. Step 6: Final answer
    x = 2,559.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.